Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung

This paper aims to investigate the numerical simulation of breathing for nanoparticle deposition of the human lung. The solid particles in the air that are passing through the human respiratory channels (considered as the 18<sup>th</sup> generation bronchial tube, which is narrow in diameter and short in length) have an impact on how our lungs exchange gases. In this study, a mathematical model within this respiratory tube of the human lung is taken into consideration. The unsteady Navier- Stokes equation is used to represent the fluid particles, and the equation of continuity is used to represent the nanoparticles. The governing equation is simulated numerically using the finite difference techniques under some assumption of axial symmetry and laminar flow, effectively reducing the problem into two dimensions. Results for velocity variation of air and dust particles have been discovered in this discussion. Effects of parameters like Reynolds number and pulse frequency have also been found. Additionally, results demonstrated that the axial velocity of fluid and particles increases with an increase in Reynolds number and frequency along both the length and diameter of the tube. Later, a comparison between fluid and particles for the velocity profile has been discussed.

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Publication Details

Journal
American Journal of Applied Mathematics
Published
2024-09-26
DOI
https://doi.org/10.11648/j.ajam.20241205.14
Primary Topic
Inhalation and Respiratory Drug Delivery
Type
article
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article

Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung

Nilufar Yasmin, Mahtab U. Ahmmed, Roni Akter
American Journal of Applied Mathematics
Inhalation and Respiratory Drug Delivery
article

Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung

Nilufar Yasmin, Mahtab U. Ahmmed, Roni Akter
article en

Abstract

This paper aims to investigate the numerical simulation of breathing for nanoparticle deposition of the human lung. The solid particles in the air that are passing through the human respiratory channels (considered as the 18<sup>th</sup> generation bronchial tube, which is narrow in diameter and short in length) have an impact on how our lungs exchange gases. In this study, a mathematical model within this respiratory tube of the human lung is taken into consideration. The unsteady Navier- Stokes equation is used to represent the fluid particles, and the equation of continuity is used to represent the nanoparticles. The governing equation is simulated numerically using the finite difference techniques under some assumption of axial symmetry and laminar flow, effectively reducing the problem into two dimensions. Results for velocity variation of air and dust particles have been discovered in this discussion. Effects of parameters like Reynolds number and pulse frequency have also been found. Additionally, results demonstrated that the axial velocity of fluid and particles increases with an increase in Reynolds number and frequency along both the length and diameter of the tube. Later, a comparison between fluid and particles for the velocity profile has been discussed.

American Journal of Applied MathematicsVol. 12(5)
Jahangirnagar University (BD)
Openalex Percentile: Top 69%
Inhalation and Respiratory Drug Delivery
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Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung — Nilufar Yasmin, Mahtab U. Ahmmed, et al. · American Journal of Applied Mathematics (2024) | TGRS Research Map | TGRS